• New exact solutions to the generalized KdV equation with generalized evolution

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      https://www.ias.ac.in/article/fulltext/pram/078/04/0499-0511

    • Keywords

       

      Improved Fan subequation method; bifurcation method; generalized KdV equation; soliton solution; kink solution; periodic solution.

    • Abstract

       

      In this paper, by using a transformation and an application of Fan subequation, we study a class of generalized Korteweg–de Vries (KdV) equation with generalized evolution. As a result, more types of exact solutions to the generalized KdV equation with generalized evolution are obtained, which include more general single-hump solitons, multihump solitons, kink solutions and Jacobian elliptic function solutions with double periods.

    • Author Affiliations

       

      Yongan Xie1 Shengqiang Tang1 Dahe Feng1

      1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, People’s Republic of China
    • Dates

       
  • Pramana – Journal of Physics | News

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